A long time after the switch is closed, the voltage across the capacitor in terms of the supply voltage is zero.
<h3>
What is a Capacitor?</h3>
In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component.
Capacitance refers to a capacitor's effect. While there is some capacitance between any two nearby electrical wires in a circuit, a capacitor is a component made to increase capacitance. The term "condenser" or "condensator" originally applied to the capacitor. Condenser microphones, sometimes known as capacitor microphones, are a remarkable exception to the general lack of usage of this name and its cognates in English.
Practical capacitors come in a wide variety of physical shapes and constructions, and there are numerous varieties that are used often. The majority of capacitors have two or more electrical conductors, frequently in the form of metallic plates or surfaces, spaced between by an insulating material. A conductor can be an electrolyte, thin film, metal bead that has been sintered, or foil. The capacitor's charge capacity is increased by the nonconducting dielectric. Glass, ceramic, plastic film, paper, mica, air, and oxide layers are a few examples of materials that are frequently employed as dielectrics. Many typical electrical gadgets use capacitors in their electrical circuits.
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Answer:
175 miles
Explanation:
because when the girl walked from point A to B which is 150 miles and walks away 25 miles to a shop.
Answer:
Radius of cross section, r = 0.24 m
Explanation:
It is given that,
Number of turns, N = 180
Change in magnetic field, ![\dfrac{dB}{dt}=3\ T/s](https://tex.z-dn.net/?f=%5Cdfrac%7BdB%7D%7Bdt%7D%3D3%5C%20T%2Fs)
Current, I = 6 A
Resistance of the solenoid, R = 17 ohms
We need to find the radius of the solenoid (r). We know that emf is given by :
![E=N\dfrac{d\phi}{dt}](https://tex.z-dn.net/?f=E%3DN%5Cdfrac%7Bd%5Cphi%7D%7Bdt%7D)
![E=N\dfrac{d(BA)}{dt}](https://tex.z-dn.net/?f=E%3DN%5Cdfrac%7Bd%28BA%29%7D%7Bdt%7D)
Since, E = IR
![IR=NA\dfrac{dB}{dt}](https://tex.z-dn.net/?f=IR%3DNA%5Cdfrac%7BdB%7D%7Bdt%7D)
![A=\dfrac{IR}{N.\dfrac{dB}{dt}}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7BIR%7D%7BN.%5Cdfrac%7BdB%7D%7Bdt%7D%7D)
![A=\dfrac{6\ A\times 17\ \Omega}{180\times 3\ T/s}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B6%5C%20A%5Ctimes%2017%5C%20%5COmega%7D%7B180%5Ctimes%203%5C%20T%2Fs%7D)
![A=0.188\ m^2](https://tex.z-dn.net/?f=A%3D0.188%5C%20m%5E2)
or
![A=0.19\ m^2](https://tex.z-dn.net/?f=A%3D0.19%5C%20m%5E2)
Area of circular cross section is, ![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
![r=\sqrt{\dfrac{A}{\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cdfrac%7BA%7D%7B%5Cpi%7D%7D)
![r=\sqrt{\dfrac{0.19}{\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%7B%5Cdfrac%7B0.19%7D%7B%5Cpi%7D%7D)
r = 0.24 m
So, the radius of a tightly wound solenoid of circular cross-section is 0.24 meters. Hence, this is the required solution.
Answer:
(a) ΔU=747J
(b) γ=1.3
Explanation:
For (a) change in internal energy
According to first law of thermodynamics the change in internal energy is given as
ΔU=Q-W
Substitute the given values
ΔU=970J-223J
ΔU=747J
For(b) γ for the gas.
We can calculate γ by ratio of heat capacities of the gas
γ=Cp/Cv
Where Cp is the molar heat capacity at constant pressure
Cv is the molar heat capacity at constant volume
To calculate γ we first need to find Cp and Cv
So
For Cp
As we know
Q=nCpΔT
Cp=(Q/nΔT)
![C_{p}=\frac{970J}{1.75mol*(25^{o}C-10^{o}C )}\\C_{p}=37J/mol.K](https://tex.z-dn.net/?f=C_%7Bp%7D%3D%5Cfrac%7B970J%7D%7B1.75mol%2A%2825%5E%7Bo%7DC-10%5E%7Bo%7DC%20%29%7D%5C%5CC_%7Bp%7D%3D37J%2Fmol.K)
From relation of Cv and Cp we know that
Cp=Cv+R
Where R is gas constant equals to 8.314J/mol.K
So
![C_{v}=C_{p}-R\\C_{v}=37-8.314\\C_{v}=28.687J/mol.K\\](https://tex.z-dn.net/?f=C_%7Bv%7D%3DC_%7Bp%7D-R%5C%5CC_%7Bv%7D%3D37-8.314%5C%5CC_%7Bv%7D%3D28.687J%2Fmol.K%5C%5C)
So
γ=Cp/Cv
γ=[(37J/mol.K) / (28.687J/mol.K)]
γ=1.3